{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 9: Overfitting and Underfitting\n",
    "### Notebook 1: Interpolation\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "import numpy as np\n",
    "import random\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.linear_model import Ridge\n",
    "\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_idealized_curves():\n",
    "    xs = np.linspace(0, 1, 101)\n",
    "    val_error = 0.15 + (1.5 * (xs-0.6)**2)\n",
    "    train_error = [math.exp(-(2*x))-.35 for x in xs]\n",
    "    plt.plot(xs, val_error, color='red', label='validation error')\n",
    "    plt.plot(xs, train_error, color='blue', label='training error')\n",
    "    plt.xlabel(\"Epochs\", fontsize=14)\n",
    "    plt.ylabel(\"Error\", fontsize=14)\n",
    "    plt.xticks([0, .2, .4, .6, .8, 1],[0, 10, 20, 30, 40, 50], fontsize=14)\n",
    "    plt.yticks([],[])\n",
    "    plt.legend(loc='lower left', fontsize=14)\n",
    "    plt.title(\"Idealized Error Curves\")\n",
    "    file_helper.save_figure(\"ideal-error-curves\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqMAAAIFCAYAAADm2vSbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11de06ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "make_idealized_curves()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def quick_fit_and_predict(fit_degree, X_train, y_train, X_test):\n",
    "    if fit_degree < 1:\n",
    "        # we use 0 degree fit to signal linear interpolation\n",
    "        y_predict = [np.interp(x, X_train, y_train) for x in X_test]\n",
    "    else:\n",
    "        polynomial_features = PolynomialFeatures(degree=fit_degree, include_bias=False)\n",
    "        linear_regression = LinearRegression()\n",
    "        pipeline = Pipeline([(\"polynomial_features\", polynomial_features),\n",
    "                             (\"linear_regression\", linear_regression)])\n",
    "        pipeline.fit(X_train[:, np.newaxis], y_train)\n",
    "        y_predict = pipeline.predict(X_test[:, np.newaxis])\n",
    "    return y_predict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_tempo_data():\n",
    "    xs = np.linspace(0, 1, 30)\n",
    "    ys = [.8, .7, .55, .5, .65, .6, .63, .6, .45, .4, .48, .42, .51, \n",
    "          .65, .63, .68, .75, .72, .8, .82, .8, .7, .74, .7, .77, .6,\n",
    "         .5, .45, .42, .4]\n",
    "    highres_xs = np.linspace(0, 1, 300)\n",
    "    return (xs, ys, highres_xs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def show_tempo_match(degree):\n",
    "    (xs, ys, highres_xs) = get_tempo_data()\n",
    "    y_predict = quick_fit_and_predict(degree, xs, ys, highres_xs)\n",
    "    plt.scatter(xs, ys, s=50)\n",
    "    plt.plot(highres_xs, y_predict, color='red', lw=2)\n",
    "    plt.xticks([0, .2, .4, .6, .8, 1],['9:00 am', '10:30 am', '12:00', '1:30 pm', '3:00 pm', '4:30 pm'], fontsize=14)\n",
    "    plt.yticks([.3, .45, .6, .75, .9],[0, .25, .5, .75, 1], fontsize=14)\n",
    "    plt.xlim(-0.05, 1.05)\n",
    "    plt.xlabel('Time', fontsize=14)\n",
    "    plt.ylabel('tempo', fontsize=14)\n",
    "    file_helper.save_figure('tempo-match-'+str(degree))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show_tempo_data():\n",
    "    (xs, ys, highres_xs) = get_tempo_data()\n",
    "    plt.scatter(xs, ys, s=50)\n",
    "    plt.xticks([0, .2, .4, .6, .8, 1],['9:00 am', '10:30 am', '12:00', '1:30 pm', '3:00 pm', '4:30 pm'], fontsize=14)\n",
    "    plt.yticks([.3, .45, .6, .75, .9],[0, .25, .5, .75, 1], fontsize=14)\n",
    "    plt.xlim(-0.05, 1.05)\n",
    "    plt.xlabel('Time', fontsize=14)\n",
    "    plt.ylabel('tempo', fontsize=14)\n",
    "    file_helper.save_figure('tempo-data')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs8AAAH7CAYAAAAzcXKRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fb2ae48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_tempo_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/scipy/linalg/basic.py:1018: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n",
      "  warnings.warn(mesg, RuntimeWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs8AAAHyCAYAAAAUfiNZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fd18860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_tempo_match(15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs8AAAH7CAYAAAAzcXKRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fd99080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_tempo_match(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs8AAAH7CAYAAAAzcXKRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120d83908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_tempo_match(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def show_L1_L2(values, title):\n",
    "    L1 = np.sum([abs(v) for v in values])\n",
    "    L2 = np.sqrt(np.sum([v**2 for v in values]))\n",
    "    xs = range(3+len(values))\n",
    "    ys = values + [0, L1, L2]\n",
    "    red = '#A84949'\n",
    "    yel = '#B0A14C'\n",
    "    blu = '#4C72B0'\n",
    "    clrs = ([blu]*(len(values)+1)) + [yel, red]\n",
    "    plt.bar(xs, ys, align='center', color=clrs)\n",
    "    xvals = [' '] * (1+len(values)) + ['L1', 'L2']\n",
    "    plt.xticks(xs, xvals, fontsize=14)\n",
    "    ysteps = np.linspace(0, max(L1, L2), 5)\n",
    "    ysteps_labels = ['{:.2f}'.format(y) for y in ysteps]\n",
    "    plt.yticks(ysteps, ysteps_labels, fontsize=14)\n",
    "    plt.title(title, fontsize=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_L1_L2_grid():\n",
    "    plt.figure(figsize=(10,4))\n",
    "    plt.subplot(1, 2, 1)\n",
    "    show_L1_L2([.3, .1, .2, .4, .7], 'Values in the range [0,1]')\n",
    "    plt.subplot(1, 2, 2)\n",
    "    show_L1_L2([2, 9, 5, 7, 3], 'Values in the range [2,9]')\n",
    "    plt.tight_layout()\n",
    "    file_helper.save_figure('L1-L2-grid')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9gAAAF9CAYAAAD/ZMAFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\na1qxwojfvgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1212602b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "make_L1_L2_grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
